# Check requisite packages are installed.
packages <- c(
  "plotly", 
  "dplyr"
)
for (pkg in packages) {
  library(pkg, character.only = TRUE)
}
package 㤼㸱plotly㤼㸲 was built under R version 4.0.5Loading required package: ggplot2
package 㤼㸱ggplot2㤼㸲 was built under R version 4.0.3Registered S3 method overwritten by 'data.table':
  method           from
  print.data.table     
Registered S3 methods overwritten by 'htmltools':
  method               from         
  print.html           tools:rstudio
  print.shiny.tag      tools:rstudio
  print.shiny.tag.list tools:rstudio
Registered S3 method overwritten by 'htmlwidgets':
  method           from         
  print.htmlwidget tools:rstudio

Attaching package: 㤼㸱plotly㤼㸲

The following object is masked from 㤼㸱package:ggplot2㤼㸲:

    last_plot

The following object is masked from 㤼㸱package:stats㤼㸲:

    filter

The following object is masked from 㤼㸱package:graphics㤼㸲:

    layout

package 㤼㸱dplyr㤼㸲 was built under R version 4.0.4
Attaching package: 㤼㸱dplyr㤼㸲

The following objects are masked from 㤼㸱package:stats㤼㸲:

    filter, lag

The following objects are masked from 㤼㸱package:base㤼㸲:

    intersect, setdiff, setequal, union

Load

Pulling code almost directly from LM1996-NumPoolComScaling-Results-2021-05.Rmd.

dirViking <- c(
  file.path(
    getwd(), "LCAB_LawMorton1996-NumericalPoolCommunityScaling"
  ),
  file.path(
    getwd(), "LCAB_LawMorton1996-NumericalPoolCommunityScaling2"
  )
)
dirVikingResults <- file.path(
  dirViking, c("results-2021-04", "save-2021-05-10") # Latter not 100% yet.
)
resultFormat <- paste0(
  "run-", 
  "%d", # Combination Number, or CombnNum.
  "-", 
  "%s", # Run Seed.
  ".RDS"
)

2021-04 Data

# Copied from LawMorton1996-NumericalPoolCommunityScaling-Calculation.R
set.seed(38427042)

basal <- c(3, 10, 30, 100, 300, 1000)
consumer <- c(3, 10, 30, 100, 300, 1000) * 2
events <- (max(basal) + max(consumer)) * 2
runs <- 100

logBodySize <- c(-2, -1, -1, 1) # Morton and Law 1997 version.
parameters <- c(0.01, 10, 0.5, 0.2, 100, 0.1)

# Need to rerun seedsPrep to get the random number generation right for seedsRun
seedsPrep <- runif(2 * length(basal) * length(consumer)) * 1E8
seedsRun <- runif(runs * length(basal) * length(consumer)) * 1E8
paramFrame <- with(list(
  b = rep(basal, times = length(consumer)),
  c = rep(consumer, each = length(basal)),
  s1 = seedsPrep[1:(length(basal) * length(consumer))],
  s2 = seedsPrep[
    (length(basal) * length(consumer) + 1):(
      2 * length(basal) * length(consumer))
  ],
  sR = seedsRun
), {
  temp <- data.frame(
    CombnNum = 0,
    Basals = b,
    Consumers = c,
    SeedPool = s1,
    SeedMat = s2,
    SeedRuns = "",
    SeedRunsNum = 0,
    EndStates = I(rep(list(""), length(b))),
    EndStatesNum = 0,
    EndStateSizes = I(rep(list(""), length(b))),
    EndStateSizesNum = NA,
    EndStateAssembly = I(rep(list(""), length(b))),
    EndStateAbundance = I(rep(list(""), length(b))),
    Dataset = "2021-04",
    DatasetID = 1,
    stringsAsFactors = FALSE
  )
  for (i in 1:nrow(temp)) {
    seeds <- sR[((i - 1) * runs + 1) : (i * runs)]
    temp$SeedRuns[i] <- toString(seeds) # CSV
    temp$SeedRunsNum[i] <- length(seeds)
  }
  temp$CombnNum <- 1:nrow(temp)
  temp
})
# Note: n + 2 end states. Failure to finish, failure to obtain state, and state.
for (i in 1:nrow(paramFrame)) {
  resultsList <- list(
    "No Run" = 0,
    "No State" = 0
  )
  resultsSize <- list(
    "0" = 0
  )
  resultsAssembly <- list(
    "No Run" = data.frame(),
    "No State" = data.frame()
  )
  seeds <- unlist(strsplit(paramFrame$SeedRuns[i], ', '))
  for (seed in seeds) {
    fileName <- file.path(
      dirVikingResults[paramFrame$DatasetID[i]],
      sprintf(resultFormat, paramFrame$CombnNum[i], seed)
    )
    
    if (file.exists(fileName)) {
      temp <- load(fileName)
      temp <- eval(parse(text = temp)) # Get objects.
      
      if (is.data.frame(temp)) {
        community <- toString(
          temp[[ncol(temp)]][[nrow(temp)]]
        )
        size <- toString(length(temp[[ncol(temp)]][[nrow(temp)]]))
        
        if (community == "") {
          resultsList$`No State` <- resultsList$`No State` + 1
          resultsSize$`0` <- resultsSize$`0` + 1
          
        } else if (community %in% names(resultsList)) {
          resultsList[[community]] <- resultsList[[community]] + 1
          resultsSize[[size]] <- resultsSize[[size]] + 1
          
        } else {
          resultsList[[community]] <- 1
          resultsAssembly[[community]] <- temp
          
          if (size %in% resultsSize) {
            resultsSize[[size]] <- resultsSize[[size]] + 1
          } else {
            resultsSize[[size]] <- 1
          }
        }
      } else {
        resultsList$`No State` <- resultsList$`No State` + 1
        resultsSize$`0` <- resultsSize$`0` + 1
      }
    } else {
      resultsList$`No Run` <- resultsList$`No Run` + 1
      resultsSize$`0` <- resultsSize$`0` + 1
    }
  }
  
  paramFrame$EndStates[[i]] <- resultsList
  paramFrame$EndStatesNum[i] <- length(resultsList) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize
  paramFrame$EndStateSizesNum[i] <- length(resultsSize) - 1 # ! 0
  paramFrame$EndStateAssembly[[i]] <- resultsAssembly
}

2021-05 Data

source(
  file.path(getwd(), 
            "LawMorton1996-NumericalPoolCommunityScaling-Settings2.R")
)

oldNrow <- nrow(paramFrame)

paramFrame <- rbind(paramFrame, with(list(
  b = rep(basal, times = length(consumer)),
  c = rep(consumer, each = length(basal)),
  s1 = seedsPrep[1:(length(basal) * length(consumer))],
  s2 = seedsPrep[
    (length(basal) * length(consumer) + 1):(
      2 * length(basal) * length(consumer))
  ],
  sR = seedsRun
), {
  temp <- data.frame(
    CombnNum = 0,
    Basals = b,
    Consumers = c,
    SeedPool = s1,
    SeedMat = s2,
    SeedRuns = "",
    SeedRunsNum = 0,
    EndStates = I(rep(list(""), length(b))),
    EndStatesNum = 0,
    EndStateSizes = I(rep(list(""), length(b))),
    EndStateSizesNum = NA,
    EndStateAssembly = I(rep(list(""), length(b))),
    EndStateAbundance = I(rep(list(""), length(b))),
    Dataset = "2021-05",
    DatasetID = 2,
    stringsAsFactors = FALSE
  )
  for (i in 1:nrow(temp)) {
    seeds <- sR[((i - 1) * runs + 1) : (i * runs)]
    temp$SeedRuns[i] <- toString(seeds) # CSV
    temp$SeedRunsNum[i] <- length(seeds)
  }
  temp$CombnNum <- 1:nrow(temp)
  temp
})
)
# Note: n + 2 end states. Failure to finish, failure to obtain state, and state.
# Modified from above, but with the abundance recorded.
for (i in (oldNrow + 1):nrow(paramFrame)) {
  resultsList <- list(
    "No Run" = 0,
    "No State" = 0
  )
  resultsSize <- list(
    "0" = 0
  )
  resultsAssembly <- list(
    "No Run" = data.frame(),
    "No State" = data.frame()
  )
  resultsAbund <- list(
    "No Run" = "",
    "No State" = ""
  )
  seeds <- unlist(strsplit(paramFrame$SeedRuns[i], ', '))
  for (seed in seeds) {
    fileName <- file.path(
      dirVikingResults[paramFrame$DatasetID[i]],
      sprintf(resultFormat, paramFrame$CombnNum[i], seed)
    )
    
    if (file.exists(fileName)) {
      temp <- load(fileName)
      temp <- eval(parse(text = temp)) # Get objects.
      
      if (is.list(temp) && "Result" %in% names(temp)) {
        
        if (is.data.frame(temp$Result))
          community <- temp$Result$Community[[nrow(temp$Result)]]
        else 
          community <- temp$Result
        
        size <- toString(length(community))
        
        if (community[1] != "") 
          abund <- toString(temp$Abund[community + 1])
        else 
          abund <- ""
        
        community <- toString(community)
        
        if (community == "") {
          resultsList$`No State` <- resultsList$`No State` + 1
          resultsSize$`0` <- resultsSize$`0` + 1
          
        } else if (community %in% names(resultsList)) {
          resultsList[[community]] <- resultsList[[community]] + 1
          resultsSize[[size]] <- resultsSize[[size]] + 1
          
        } else {
          resultsList[[community]] <- 1
          resultsAssembly[[community]] <- temp
          resultsAbund[[community]] <- abund
          
          if (size %in% resultsSize) {
            resultsSize[[size]] <- resultsSize[[size]] + 1
          } else {
            resultsSize[[size]] <- 1
          }
        }
      } else {
        resultsList$`No State` <- resultsList$`No State` + 1
        resultsSize$`0` <- resultsSize$`0` + 1
      }
    } else {
      resultsList$`No Run` <- resultsList$`No Run` + 1
      resultsSize$`0` <- resultsSize$`0` + 1
    }
  }
  
  paramFrame$EndStates[[i]] <- resultsList
  paramFrame$EndStatesNum[i] <- length(resultsList) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize
  paramFrame$EndStateSizesNum[i] <- length(resultsSize) - 1 # ! 0
  paramFrame$EndStateAssembly[[i]] <- resultsAssembly
  paramFrame$EndStateAbundance[[i]] <- resultsAbund
}

Test Data

testRowNums <- nrow(paramFrame)
testRowsToAdd <- c(2, 6) # Make sure to put in numerical order!

paramFrame <- with(
  list(
    basal2 = c(5, 10, 15),
    consumer2 = c(20, 40, 60),
    logBodySize = c(-2, -1, -1, 0),
    parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1)
  ),
  {
    set.seed(3680180)
    seedsPrep2 <- runif(2 * length(basal2) * length(consumer2)) * 1E8
    with(list(
      b = rep(basal2, times = length(consumer2)),
      c = rep(consumer2, each = length(basal2)),
      s1 = seedsPrep2[1:(length(basal2) * length(consumer2))],
      s2 = seedsPrep2[
        (length(basal2) * length(consumer2) + 1):(
          2 * length(basal2) * length(consumer2))
      ]
    ), {
      rbind(
        paramFrame,
        data.frame(
          CombnNum = testRowsToAdd,
          Basals = b[testRowsToAdd],
          Consumers = c[testRowsToAdd],
          SeedPool = s1[testRowsToAdd],
          SeedMat = s2[testRowsToAdd],
          SeedRuns = "",
          SeedRunsNum = 0,
          EndStates = I(rep(list(""), length(testRowsToAdd))),
          EndStatesNum = 0,
          EndStateSizes = I(rep(list(""), length(testRowsToAdd))),
          EndStateSizesNum = NA,
          EndStateAssembly = I(rep(list(""), length(testRowsToAdd))),
          EndStateAbundance = I(rep(list(""), length(testRowsToAdd))),
          Dataset = "Test",
          DatasetID = max(paramFrame$DatasetID) + 1,
          stringsAsFactors = FALSE
        )
      )
    }
    )
  }
)

testRowNums <- (testRowNums + 1):nrow(paramFrame)
resultsList <- list(
  list(
    "No Run" = 0,
    "No State" = 0,
    "2, 4, 6, 12, 29" = 1,
    "2, 4, 6, 13, 29" = 1
  ),
  list(
    "No Run" = 0,
    "No State" = 0,
    "8, 10, 12, 14, 15, 16, 39, 43" = 1,
    "8, 12, 14, 15, 16, 38, 39" = 1
  )
)
resultsSize <- list(
  list(
    "0" = 0,
    "5" = 2
  ),
  list(
    "0" = 0,
    "8" = 1,
    "7" = 1
  )
)
resultsAbund <- list(
  list(
    "No Run" = "",
    "No State" = "",
    "2, 4, 6, 12, 29" = "742.88553671712, 80.579233072626, 162.128399850253, 20.2082198699389, 18.8589490510429",
    "2, 4, 6, 13, 29" = "668.664143581837, 119.024146851052, 127.680269383867, 30.657960866033, 13.4844194707944"
  ),
  list(
    "No Run" = "",
    "No State" = "",
    "8, 10, 12, 14, 15, 16, 39, 43" = "20.7665807606491, 32.4461165261454, 80.4033387818895, 817.879722033354, 121.136570782828, 18.0390671088957, 12.3834561177271, 19.9674718543196",
    "8, 12, 14, 15, 16, 38, 39" = "82.592048492812, 138.267379166014, 938.158436379166, 51.8610963745021, 5.03556251837491, 14.1019343145825, 25.9231062711228"
  )
)

for (j in seq_along(testRowNums)) {
  i <- testRowNums[j]
  paramFrame$EndStates[[i]] <- resultsList[[j]]
  paramFrame$EndStatesNum[i] <- length(resultsList[[j]]) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize[[j]]
  paramFrame$EndStateSizesNum[i] <- length(resultsSize[[j]]) - 1 # ! 0
  paramFrame$EndStateAbundance[[i]] <- resultsAbund[[j]]
}

Plot

# X, Y, Basal and Consumer.
# Z = Sizes of the Endstates.

plotScalingData <- data.frame(
  CombnNum = rep(paramFrame$CombnNum, paramFrame$EndStatesNum),
  Basals = rep(paramFrame$Basals, paramFrame$EndStatesNum),
  Consumers = rep(paramFrame$Consumers, paramFrame$EndStatesNum),
  Dataset = rep(paramFrame$Dataset, paramFrame$EndStatesNum),
  DatasetID = rep(paramFrame$DatasetID, paramFrame$EndStatesNum)
)

# Communities
comms <- unlist(lapply(paramFrame$EndStates, names))
freqs <- unlist(paramFrame$EndStates)
asmbl <- unlist(paramFrame$EndStateAssembly, recursive = FALSE)
asmbl <- asmbl[comms != "No Run" & comms != "No State"]
freqs <- freqs[comms != "No Run" & comms != "No State"]
comms <- comms[comms != "No Run" & comms != "No State"]

asmbl <- lapply(asmbl, function(d) {
  if (is.null(d)) return(NA)
  if ("Result.Outcome" %in% names(d))
    d %>% dplyr::filter(Result.Outcome != "Type 1 (Failure)" & 
                          Result.Outcome != "Present")
  else
    d$Result %>% dplyr::filter(Outcome != "Type 1 (Failure)" & 
                                 Outcome != "Present")
})

plotScalingData$Communities <- comms
plotScalingData$CommunityFreq <- freqs
plotScalingData$CommunitySeq <- asmbl

# Community Size
temp <- unlist(lapply(strsplit(plotScalingData$Communities, ','), length))
plotScalingData$CommunitySize <- temp

# For usage by the reader.

plotScaling <- plotly::plot_ly(
  plotScalingData,
  x = ~Basals,
  y = ~Consumers,
  z = ~CommunitySize,
  color = ~Dataset,
  colors = c("red", "blue", "black")
)

plotScaling <- plotly::add_markers(plotScaling)

plotScaling <- plotly::layout(
  plotScaling,
  scene = list(
    xaxis = list(type = "log"),
    yaxis = list(type = "log"),
    camera = list(
      eye = list(
        x = -1.25, y = -1.25, z = .05
      )
    )
  )
)

plotScaling

Abundances

# > runif(1) * 1E8
# [1] 82598679
set.seed(82598679)

mats <- list()
poolsall <- list() # name pools used in save data; be careful!

for (i in 1:length(dirViking)) {
  temp <- load(file.path(
    dirViking[i], 
    paste0("LawMorton1996-NumericalPoolCommunityScaling-PoolMats", 
           if (i > 1) i else "", 
           ".RDS")
  ))
  mats[[i]] <- eval(parse(text = temp[1]))
  poolsall[[i]] <- eval(parse(text = temp[2]))
}
pools <- poolsall

# Add in the test datasets.
poolsTemp <- list()
matsTemp <- list()
for (r in testRowNums) {
  testRowRow <- paramFrame[r, ]
  poolsTemp[[testRowRow$CombnNum]] <- with(testRowRow,
    RMTRCode2::LawMorton1996_species(
      Basal = Basals,
      Consumer = Consumers,
      Parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1),
      LogBodySize = c(-2, -1, -1, 0),
      seed = SeedPool
    )
  )
  matsTemp[[testRowRow$CombnNum]] <- with(testRowRow,
    RMTRCode2::LawMorton1996_CommunityMat(
      Pool = poolsTemp[[CombnNum]],
      Parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1),
      seed = SeedMat
    )
  )
}
executing %dopar% sequentially: no parallel backend registered
pools[[i + 1]] <- poolsTemp
mats[[i + 1]] <- matsTemp

oldCandidateData <- load(file.path(getwd(), "candidateDataSoFar.Rdata"))
oldCandidateData <- eval(parse(text = oldCandidateData))
candidateData <- plotScalingData %>% dplyr::group_by(
  CombnNum, Dataset
) %>% dplyr::mutate(
  OtherSteadyStates = dplyr::n() - 1
) %>% dplyr::filter(
  OtherSteadyStates > 0
)
candidateData %>% dplyr::select(-CommunitySeq)
# First, check if it is in the paramFrame.
# Second, check if it is in the saved data from the previous.
# Otherwise, ignore it, we'll figure out what it is and why it is missing later.

candidateData$CommunityAbund <- ""

for (r in 1:nrow(candidateData)) {
  # ID 1:4 are used to identify paramFrame, 5 used to identify abundance
  ID <- candidateData[r, 1:6]
  paramFrameRow <- paramFrame %>% dplyr::filter(
    CombnNum == ID$CombnNum,
    Basals == ID$Basals,
    Consumers == ID$Consumers,
    Dataset == ID$Dataset
  )
  
  if (is.list(paramFrameRow$EndStateAbundance[[1]])) {
    entry <- which(ID$Communities == names(paramFrameRow$EndStateAbundance[[1]]))
    if (length(entry)) {
      candidateData$CommunityAbund[r] <- paramFrameRow$EndStateAbundance[[1]][[entry]]
      next()
    }
  }
  
  if (ID$Dataset == "2021-04") {
    
    oldCandDatRow <- oldCandidateData %>% dplyr::filter(
      CombnNum == ID$CombnNum,
      Basals == ID$Basals,
      Consumers == ID$Consumers,
      Communities == ID$Communities
    )
    
    if (nrow(oldCandDatRow) > 0) {
      if (oldCandDatRow$CommunityAbund != "") {
        candidateData$CommunityAbund[r] <- oldCandDatRow$CommunityAbund
      }
    }
  }
}
candidateData <- candidateData %>% dplyr::filter(CommunityAbund != "",
                                                 CommunityAbund != "Failure")
candidateData$CommunityProd <- NA
for (r in 1:nrow(candidateData)) {
  candidateData$CommunityProd[r] <- with(
    candidateData[r, ], 
    RMTRCode2::Productivity(
      Pool = pools[[DatasetID]][[CombnNum]], 
      InteractionMatrix = mats[[DatasetID]][[CombnNum]], 
      Community = Communities, 
      Populations = CommunityAbund
    )
  )
}

Simple Island Results

islandFUN <- function(i, dat, pool, mat, dmat) {
  temp <- dat[i, ]
  RMTRCode2::IslandDynamics(
    Pool = pool,
    InteractionMatrix = mat,
    Communities = c(
      list(temp$Communities[1]),
      rep("", nrow(dmat) - 2),
      temp$Communities[2]
    ),
    Populations = c(
      list(temp$CommunityAbund[1]),
      rep("", nrow(dmat) - 2),
      list(temp$CommunityAbund[2])
    ),
    DispersalPool = 0.0001,
    DispersalIsland = dmat,
  )
}
# For each group-dataset,
# For each pair,
# Run Island Dynamics,
# Save the result with its pairing
candidateData$TotalID <- paste(candidateData$CombnNum, candidateData$DatasetID)

islandInteractionsOneTwo <- list()

for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) == 1) next()
  
  pairingResults <- combn(
    nrow(candidateDataSubset), 2, 
    islandFUN,
    dat = candidateDataSubset, 
    pool = pools[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    mat = mats[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    dmat = matrix(c(0, 1, 1, 0), nrow = 2, ncol = 2),
    simplify = FALSE
  )
  
  pairingResults <- lapply(
    pairingResults, function(mat, isles) {
      mat <- mat[nrow(mat), -1]
      retVal <- list()
      species <- length(mat) / isles
      for (i in 1:isles) {
        retVal[[i]] <- mat[((i - 1) * species + 1) : (i * species)]
      }
      retVal
    },
    isles = 2
  )
  
  islandInteractionsOneTwo[[grp]] <- pairingResults
}
islandInteractionsOneEmptyTwo <- list()

for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) == 1) next()
  
  pairingResults <- combn(
    nrow(candidateDataSubset), 2, 
    islandFUN,
    dat = candidateDataSubset, 
    pool = pools[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    mat = mats[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    dmat = matrix(c(
      0, 1, 0, # Island 2 -> 1
      1, 0, 1, # Island 1 -> 2, Island 3 -> 2
      0, 1, 0  # Island 2 -> 3
    ), nrow = 3, ncol = 3, byrow = TRUE),
    simplify = FALSE
  )
  
  pairingResults <- lapply(
    pairingResults, function(mat, isles) {
      mat <- mat[nrow(mat), -1]
      retVal <- list()
      species <- length(mat) / isles
      for (i in 1:isles) {
        retVal[[i]] <- mat[((i - 1) * species + 1) : (i * species)]
      }
      retVal
    },
    isles = 3
  )
  
  islandInteractionsOneEmptyTwo[[grp]] <- pairingResults
}
# Format of table should be:
# ID, Community 1, Community 2, Outcomes 1-2, Outcomes 1-0-2
# For outcomes, species presence will be used.

communities <- NULL
totalCommunities <- NULL
for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) > 1) {
    newCommunities <- combn(
      candidateDataSubset$Communities, 2, 
    )
    communities <- c(communities, newCommunities)
    totalCommunities <- c(
      totalCommunities,
      toString(sort(unique(unlist(lapply(newCommunities, 
                                         RMTRCode2::CsvRowSplit)))))
    )
  }
}

islandInteractionsOneTwoWhich <- unlist(lapply(
  seq_along(islandInteractionsOneTwo), function(i, x, tC) {
    lapply(x[[i]], function(y, tC) {
      lapply(y, function(z, tC) {
        toString(RMTRCode2::CsvRowSplit(tC)[which(z > 1E-6)])
      }, tC = tC)
    },
    tC = tC[i])
  },
  x = islandInteractionsOneTwo,
  tC = totalCommunities))

islandInteractionsOneEmptyTwoWhich <- unlist(lapply(
  seq_along(islandInteractionsOneEmptyTwo), function(i, x, tC) {
    lapply(x[[i]], function(y, tC) {
      lapply(y, function(z, tC) {
        toString(RMTRCode2::CsvRowSplit(tC)[which(z > 1E-6)])
      }, tC = tC)
    },
    tC = tC[i])
  },
  x = islandInteractionsOneEmptyTwo,
  tC = totalCommunities))


islandInteractionResults <- data.frame(
  DatasetID = rep(names(islandInteractionsOneTwo), 
                  unlist(lapply(islandInteractionsOneTwo, length))),
  Community1 = communities[seq(from = 1, to = length(communities), by = 2)],
  Community2 = communities[seq(from = 2, to = length(communities), by = 2)],
  OutcomeWOEmpty_Island1 = islandInteractionsOneTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneTwoWhich), by = 2)],
  OutcomeWOEmpty_Island2 = islandInteractionsOneTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneTwoWhich), by = 2)],
  OutcomeWEmpty_Island1 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)],
  OutcomeWEmpty_Island2 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)],
  OutcomeWEmpty_Island3 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)]
)

islandInteractionResults
islandInteractionResults %>% dplyr::mutate(
  C1WOInvaded = Community1 != OutcomeWOEmpty_Island1,
  C2WOInvaded = Community2 != OutcomeWOEmpty_Island2,
  C1WInvaded = Community1 != OutcomeWEmpty_Island1,
  C2WInvaded = Community2 != OutcomeWEmpty_Island3,
  StalemateWO = !C1WOInvaded & !C2WOInvaded,
  StalemateW = !C1WInvaded & !C2WInvaded,
  HybridWO = C1WOInvaded & C2WOInvaded,
  HybridW = C1WInvaded & C2WInvaded,
) %>% dplyr::select(-dplyr::starts_with("Outcome"))

Save workspace

save(
  candidateData,
  islandInteractionsOneEmptyTwo,
  islandInteractionsOneEmptyTwoWhich,
  islandInteractionsOneTwo,
  islandInteractionsOneTwoWhich,
  mats,
  paramFrame,
  plotScalingData,
  pools,
  file = "LM1996-NumPoolCom-QDat-2021-05.RData"
)
---
title: "Answering Questions; Gather Data, 2021-05"
output:
  html_notebook:
    code_folding: hide
---

```{r libs}
# Check requisite packages are installed.
packages <- c(
  "plotly", 
  "dplyr"
)
for (pkg in packages) {
  library(pkg, character.only = TRUE)
}
```

# Load
Pulling code almost directly from `LM1996-NumPoolComScaling-Results-2021-05.Rmd`.
```{r dirs}
dirViking <- c(
  file.path(
    getwd(), "LCAB_LawMorton1996-NumericalPoolCommunityScaling"
  ),
  file.path(
    getwd(), "LCAB_LawMorton1996-NumericalPoolCommunityScaling2"
  )
)
dirVikingResults <- file.path(
  dirViking, c("results-2021-04", "save-2021-05-10") # Latter not 100% yet.
)
resultFormat <- paste0(
  "run-", 
  "%d", # Combination Number, or CombnNum.
  "-", 
  "%s", # Run Seed.
  ".RDS"
)
```

## 2021-04 Data
```{r params}
# Copied from LawMorton1996-NumericalPoolCommunityScaling-Calculation.R
set.seed(38427042)

basal <- c(3, 10, 30, 100, 300, 1000)
consumer <- c(3, 10, 30, 100, 300, 1000) * 2
events <- (max(basal) + max(consumer)) * 2
runs <- 100

logBodySize <- c(-2, -1, -1, 1) # Morton and Law 1997 version.
parameters <- c(0.01, 10, 0.5, 0.2, 100, 0.1)

# Need to rerun seedsPrep to get the random number generation right for seedsRun
seedsPrep <- runif(2 * length(basal) * length(consumer)) * 1E8
seedsRun <- runif(runs * length(basal) * length(consumer)) * 1E8
```

```{r organiseParams}
paramFrame <- with(list(
  b = rep(basal, times = length(consumer)),
  c = rep(consumer, each = length(basal)),
  s1 = seedsPrep[1:(length(basal) * length(consumer))],
  s2 = seedsPrep[
    (length(basal) * length(consumer) + 1):(
      2 * length(basal) * length(consumer))
  ],
  sR = seedsRun
), {
  temp <- data.frame(
    CombnNum = 0,
    Basals = b,
    Consumers = c,
    SeedPool = s1,
    SeedMat = s2,
    SeedRuns = "",
    SeedRunsNum = 0,
    EndStates = I(rep(list(""), length(b))),
    EndStatesNum = 0,
    EndStateSizes = I(rep(list(""), length(b))),
    EndStateSizesNum = NA,
    EndStateAssembly = I(rep(list(""), length(b))),
    EndStateAbundance = I(rep(list(""), length(b))),
    Dataset = "2021-04",
    DatasetID = 1,
    stringsAsFactors = FALSE
  )
  for (i in 1:nrow(temp)) {
    seeds <- sR[((i - 1) * runs + 1) : (i * runs)]
    temp$SeedRuns[i] <- toString(seeds) # CSV
    temp$SeedRunsNum[i] <- length(seeds)
  }
  temp$CombnNum <- 1:nrow(temp)
  temp
})
```

```{r loadResults}
# Note: n + 2 end states. Failure to finish, failure to obtain state, and state.
for (i in 1:nrow(paramFrame)) {
  resultsList <- list(
    "No Run" = 0,
    "No State" = 0
  )
  resultsSize <- list(
    "0" = 0
  )
  resultsAssembly <- list(
    "No Run" = data.frame(),
    "No State" = data.frame()
  )
  seeds <- unlist(strsplit(paramFrame$SeedRuns[i], ', '))
  for (seed in seeds) {
    fileName <- file.path(
      dirVikingResults[paramFrame$DatasetID[i]],
      sprintf(resultFormat, paramFrame$CombnNum[i], seed)
    )
    
    if (file.exists(fileName)) {
      temp <- load(fileName)
      temp <- eval(parse(text = temp)) # Get objects.
      
      if (is.data.frame(temp)) {
        community <- toString(
          temp[[ncol(temp)]][[nrow(temp)]]
        )
        size <- toString(length(temp[[ncol(temp)]][[nrow(temp)]]))
        
        if (community == "") {
          resultsList$`No State` <- resultsList$`No State` + 1
          resultsSize$`0` <- resultsSize$`0` + 1
          
        } else if (community %in% names(resultsList)) {
          resultsList[[community]] <- resultsList[[community]] + 1
          resultsSize[[size]] <- resultsSize[[size]] + 1
          
        } else {
          resultsList[[community]] <- 1
          resultsAssembly[[community]] <- temp
          
          if (size %in% resultsSize) {
            resultsSize[[size]] <- resultsSize[[size]] + 1
          } else {
            resultsSize[[size]] <- 1
          }
        }
      } else {
        resultsList$`No State` <- resultsList$`No State` + 1
        resultsSize$`0` <- resultsSize$`0` + 1
      }
    } else {
      resultsList$`No Run` <- resultsList$`No Run` + 1
      resultsSize$`0` <- resultsSize$`0` + 1
    }
  }
  
  paramFrame$EndStates[[i]] <- resultsList
  paramFrame$EndStatesNum[i] <- length(resultsList) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize
  paramFrame$EndStateSizesNum[i] <- length(resultsSize) - 1 # ! 0
  paramFrame$EndStateAssembly[[i]] <- resultsAssembly
}
```

## 2021-05 Data
```{r organiseParams2}
source(
  file.path(getwd(), 
            "LawMorton1996-NumericalPoolCommunityScaling-Settings2.R")
)

oldNrow <- nrow(paramFrame)

paramFrame <- rbind(paramFrame, with(list(
  b = rep(basal, times = length(consumer)),
  c = rep(consumer, each = length(basal)),
  s1 = seedsPrep[1:(length(basal) * length(consumer))],
  s2 = seedsPrep[
    (length(basal) * length(consumer) + 1):(
      2 * length(basal) * length(consumer))
  ],
  sR = seedsRun
), {
  temp <- data.frame(
    CombnNum = 0,
    Basals = b,
    Consumers = c,
    SeedPool = s1,
    SeedMat = s2,
    SeedRuns = "",
    SeedRunsNum = 0,
    EndStates = I(rep(list(""), length(b))),
    EndStatesNum = 0,
    EndStateSizes = I(rep(list(""), length(b))),
    EndStateSizesNum = NA,
    EndStateAssembly = I(rep(list(""), length(b))),
    EndStateAbundance = I(rep(list(""), length(b))),
    Dataset = "2021-05",
    DatasetID = 2,
    stringsAsFactors = FALSE
  )
  for (i in 1:nrow(temp)) {
    seeds <- sR[((i - 1) * runs + 1) : (i * runs)]
    temp$SeedRuns[i] <- toString(seeds) # CSV
    temp$SeedRunsNum[i] <- length(seeds)
  }
  temp$CombnNum <- 1:nrow(temp)
  temp
})
)
```

```{r loadResults2}
# Note: n + 2 end states. Failure to finish, failure to obtain state, and state.
# Modified from above, but with the abundance recorded.
for (i in (oldNrow + 1):nrow(paramFrame)) {
  resultsList <- list(
    "No Run" = 0,
    "No State" = 0
  )
  resultsSize <- list(
    "0" = 0
  )
  resultsAssembly <- list(
    "No Run" = data.frame(),
    "No State" = data.frame()
  )
  resultsAbund <- list(
    "No Run" = "",
    "No State" = ""
  )
  seeds <- unlist(strsplit(paramFrame$SeedRuns[i], ', '))
  for (seed in seeds) {
    fileName <- file.path(
      dirVikingResults[paramFrame$DatasetID[i]],
      sprintf(resultFormat, paramFrame$CombnNum[i], seed)
    )
    
    if (file.exists(fileName)) {
      temp <- load(fileName)
      temp <- eval(parse(text = temp)) # Get objects.
      
      if (is.list(temp) && "Result" %in% names(temp)) {
        
        if (is.data.frame(temp$Result))
          community <- temp$Result$Community[[nrow(temp$Result)]]
        else 
          community <- temp$Result
        
        size <- toString(length(community))
        
        if (community[1] != "") 
          abund <- toString(temp$Abund[community + 1])
        else 
          abund <- ""
        
        community <- toString(community)
        
        if (community == "") {
          resultsList$`No State` <- resultsList$`No State` + 1
          resultsSize$`0` <- resultsSize$`0` + 1
          
        } else if (community %in% names(resultsList)) {
          resultsList[[community]] <- resultsList[[community]] + 1
          resultsSize[[size]] <- resultsSize[[size]] + 1
          
        } else {
          resultsList[[community]] <- 1
          resultsAssembly[[community]] <- temp
          resultsAbund[[community]] <- abund
          
          if (size %in% resultsSize) {
            resultsSize[[size]] <- resultsSize[[size]] + 1
          } else {
            resultsSize[[size]] <- 1
          }
        }
      } else {
        resultsList$`No State` <- resultsList$`No State` + 1
        resultsSize$`0` <- resultsSize$`0` + 1
      }
    } else {
      resultsList$`No Run` <- resultsList$`No Run` + 1
      resultsSize$`0` <- resultsSize$`0` + 1
    }
  }
  
  paramFrame$EndStates[[i]] <- resultsList
  paramFrame$EndStatesNum[i] <- length(resultsList) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize
  paramFrame$EndStateSizesNum[i] <- length(resultsSize) - 1 # ! 0
  paramFrame$EndStateAssembly[[i]] <- resultsAssembly
  paramFrame$EndStateAbundance[[i]] <- resultsAbund
}
```

## Test Data

```{r addTest}
testRowNums <- nrow(paramFrame)
testRowsToAdd <- c(2, 6) # Make sure to put in numerical order!

paramFrame <- with(
  list(
    basal2 = c(5, 10, 15),
    consumer2 = c(20, 40, 60),
    logBodySize = c(-2, -1, -1, 0),
    parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1)
  ),
  {
    set.seed(3680180)
    seedsPrep2 <- runif(2 * length(basal2) * length(consumer2)) * 1E8
    with(list(
      b = rep(basal2, times = length(consumer2)),
      c = rep(consumer2, each = length(basal2)),
      s1 = seedsPrep2[1:(length(basal2) * length(consumer2))],
      s2 = seedsPrep2[
        (length(basal2) * length(consumer2) + 1):(
          2 * length(basal2) * length(consumer2))
      ]
    ), {
      rbind(
        paramFrame,
        data.frame(
          CombnNum = testRowsToAdd,
          Basals = b[testRowsToAdd],
          Consumers = c[testRowsToAdd],
          SeedPool = s1[testRowsToAdd],
          SeedMat = s2[testRowsToAdd],
          SeedRuns = "",
          SeedRunsNum = 0,
          EndStates = I(rep(list(""), length(testRowsToAdd))),
          EndStatesNum = 0,
          EndStateSizes = I(rep(list(""), length(testRowsToAdd))),
          EndStateSizesNum = NA,
          EndStateAssembly = I(rep(list(""), length(testRowsToAdd))),
          EndStateAbundance = I(rep(list(""), length(testRowsToAdd))),
          Dataset = "Test",
          DatasetID = max(paramFrame$DatasetID) + 1,
          stringsAsFactors = FALSE
        )
      )
    }
    )
  }
)

testRowNums <- (testRowNums + 1):nrow(paramFrame)
resultsList <- list(
  list(
    "No Run" = 0,
    "No State" = 0,
    "2, 4, 6, 12, 29" = 1,
    "2, 4, 6, 13, 29" = 1
  ),
  list(
    "No Run" = 0,
    "No State" = 0,
    "8, 10, 12, 14, 15, 16, 39, 43" = 1,
    "8, 12, 14, 15, 16, 38, 39" = 1
  )
)
resultsSize <- list(
  list(
    "0" = 0,
    "5" = 2
  ),
  list(
    "0" = 0,
    "8" = 1,
    "7" = 1
  )
)
resultsAbund <- list(
  list(
    "No Run" = "",
    "No State" = "",
    "2, 4, 6, 12, 29" = "742.88553671712, 80.579233072626, 162.128399850253, 20.2082198699389, 18.8589490510429",
    "2, 4, 6, 13, 29" = "668.664143581837, 119.024146851052, 127.680269383867, 30.657960866033, 13.4844194707944"
  ),
  list(
    "No Run" = "",
    "No State" = "",
    "8, 10, 12, 14, 15, 16, 39, 43" = "20.7665807606491, 32.4461165261454, 80.4033387818895, 817.879722033354, 121.136570782828, 18.0390671088957, 12.3834561177271, 19.9674718543196",
    "8, 12, 14, 15, 16, 38, 39" = "82.592048492812, 138.267379166014, 938.158436379166, 51.8610963745021, 5.03556251837491, 14.1019343145825, 25.9231062711228"
  )
)

for (j in seq_along(testRowNums)) {
  i <- testRowNums[j]
  paramFrame$EndStates[[i]] <- resultsList[[j]]
  paramFrame$EndStatesNum[i] <- length(resultsList[[j]]) - 2 # ! No State, No Run
  paramFrame$EndStateSizes[[i]] <- resultsSize[[j]]
  paramFrame$EndStateSizesNum[i] <- length(resultsSize[[j]]) - 1 # ! 0
  paramFrame$EndStateAbundance[[i]] <- resultsAbund[[j]]
}

```

## Plot

```{r plot3D}
# X, Y, Basal and Consumer.
# Z = Sizes of the Endstates.

plotScalingData <- data.frame(
  CombnNum = rep(paramFrame$CombnNum, paramFrame$EndStatesNum),
  Basals = rep(paramFrame$Basals, paramFrame$EndStatesNum),
  Consumers = rep(paramFrame$Consumers, paramFrame$EndStatesNum),
  Dataset = rep(paramFrame$Dataset, paramFrame$EndStatesNum),
  DatasetID = rep(paramFrame$DatasetID, paramFrame$EndStatesNum)
)

# Communities
comms <- unlist(lapply(paramFrame$EndStates, names))
freqs <- unlist(paramFrame$EndStates)
asmbl <- unlist(paramFrame$EndStateAssembly, recursive = FALSE)
asmbl <- asmbl[comms != "No Run" & comms != "No State"]
freqs <- freqs[comms != "No Run" & comms != "No State"]
comms <- comms[comms != "No Run" & comms != "No State"]

asmbl <- lapply(asmbl, function(d) {
  if (is.null(d)) return(NA)
  if ("Result.Outcome" %in% names(d))
    d %>% dplyr::filter(Result.Outcome != "Type 1 (Failure)" & 
                          Result.Outcome != "Present")
  else
    d$Result %>% dplyr::filter(Outcome != "Type 1 (Failure)" & 
                                 Outcome != "Present")
})

plotScalingData$Communities <- comms
plotScalingData$CommunityFreq <- freqs
plotScalingData$CommunitySeq <- asmbl

# Community Size
temp <- unlist(lapply(strsplit(plotScalingData$Communities, ','), length))
plotScalingData$CommunitySize <- temp

# For usage by the reader.

plotScaling <- plotly::plot_ly(
  plotScalingData,
  x = ~Basals,
  y = ~Consumers,
  z = ~CommunitySize,
  color = ~Dataset,
  colors = c("red", "blue", "black")
)

plotScaling <- plotly::add_markers(plotScaling)

plotScaling <- plotly::layout(
  plotScaling,
  scene = list(
    xaxis = list(type = "log"),
    yaxis = list(type = "log"),
    camera = list(
      eye = list(
        x = -1.25, y = -1.25, z = .05
      )
    )
  )
)

plotScaling
```

## Abundances

```{r loadPoolsMats}
# > runif(1) * 1E8
# [1] 82598679
set.seed(82598679)

mats <- list()
poolsall <- list() # name pools used in save data; be careful!

for (i in 1:length(dirViking)) {
  temp <- load(file.path(
    dirViking[i], 
    paste0("LawMorton1996-NumericalPoolCommunityScaling-PoolMats", 
           if (i > 1) i else "", 
           ".RDS")
  ))
  mats[[i]] <- eval(parse(text = temp[1]))
  poolsall[[i]] <- eval(parse(text = temp[2]))
}
pools <- poolsall

# Add in the test datasets.
poolsTemp <- list()
matsTemp <- list()
for (r in testRowNums) {
  testRowRow <- paramFrame[r, ]
  poolsTemp[[testRowRow$CombnNum]] <- with(testRowRow,
    RMTRCode2::LawMorton1996_species(
      Basal = Basals,
      Consumer = Consumers,
      Parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1),
      LogBodySize = c(-2, -1, -1, 0),
      seed = SeedPool
    )
  )
  matsTemp[[testRowRow$CombnNum]] <- with(testRowRow,
    RMTRCode2::LawMorton1996_CommunityMat(
      Pool = poolsTemp[[CombnNum]],
      Parameters = c(0.01, 10, 0.5, 0.2, 100, 0.1),
      seed = SeedMat
    )
  )
}
pools[[i + 1]] <- poolsTemp
mats[[i + 1]] <- matsTemp

oldCandidateData <- load(file.path(getwd(), "candidateDataSoFar.Rdata"))
oldCandidateData <- eval(parse(text = oldCandidateData))
```

```{r computeCandidates}
candidateData <- plotScalingData %>% dplyr::group_by(
  CombnNum, Dataset
) %>% dplyr::mutate(
  OtherSteadyStates = dplyr::n() - 1
) %>% dplyr::filter(
  OtherSteadyStates > 0
)
candidateData %>% dplyr::select(-CommunitySeq)
```

```{r loadAbundances}
# First, check if it is in the paramFrame.
# Second, check if it is in the saved data from the previous.
# Otherwise, ignore it, we'll figure out what it is and why it is missing later.

candidateData$CommunityAbund <- ""

for (r in 1:nrow(candidateData)) {
  # ID 1:4 are used to identify paramFrame, 5 used to identify abundance
  ID <- candidateData[r, 1:6]
  paramFrameRow <- paramFrame %>% dplyr::filter(
    CombnNum == ID$CombnNum,
    Basals == ID$Basals,
    Consumers == ID$Consumers,
    Dataset == ID$Dataset
  )
  
  if (is.list(paramFrameRow$EndStateAbundance[[1]])) {
    entry <- which(ID$Communities == names(paramFrameRow$EndStateAbundance[[1]]))
    if (length(entry)) {
      candidateData$CommunityAbund[r] <- paramFrameRow$EndStateAbundance[[1]][[entry]]
      next()
    }
  }
  
  if (ID$Dataset == "2021-04") {
    
    oldCandDatRow <- oldCandidateData %>% dplyr::filter(
      CombnNum == ID$CombnNum,
      Basals == ID$Basals,
      Consumers == ID$Consumers,
      Communities == ID$Communities
    )
    
    if (nrow(oldCandDatRow) > 0) {
      if (oldCandDatRow$CommunityAbund != "") {
        candidateData$CommunityAbund[r] <- oldCandDatRow$CommunityAbund
      }
    }
  }
}
```

```{r filterNoAbund}
candidateData <- candidateData %>% dplyr::filter(CommunityAbund != "",
                                                 CommunityAbund != "Failure")
```

```{r computeProductivity}
candidateData$CommunityProd <- NA
for (r in 1:nrow(candidateData)) {
  candidateData$CommunityProd[r] <- with(
    candidateData[r, ], 
    RMTRCode2::Productivity(
      Pool = pools[[DatasetID]][[CombnNum]], 
      InteractionMatrix = mats[[DatasetID]][[CombnNum]], 
      Community = Communities, 
      Populations = CommunityAbund
    )
  )
}
```

## Simple Island Results
```{r islandFUN}
islandFUN <- function(i, dat, pool, mat, dmat) {
  temp <- dat[i, ]
  RMTRCode2::IslandDynamics(
    Pool = pool,
    InteractionMatrix = mat,
    Communities = c(
      list(temp$Communities[1]),
      rep("", nrow(dmat) - 2),
      temp$Communities[2]
    ),
    Populations = c(
      list(temp$CommunityAbund[1]),
      rep("", nrow(dmat) - 2),
      list(temp$CommunityAbund[2])
    ),
    DispersalPool = 0.0001,
    DispersalIsland = dmat,
  )
}
```

```{r islandOneTwo}
# For each group-dataset,
# For each pair,
# Run Island Dynamics,
# Save the result with its pairing
candidateData$TotalID <- paste(candidateData$CombnNum, candidateData$DatasetID)

islandInteractionsOneTwo <- list()

for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) == 1) next()
  
  pairingResults <- combn(
    nrow(candidateDataSubset), 2, 
    islandFUN,
    dat = candidateDataSubset, 
    pool = pools[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    mat = mats[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    dmat = matrix(c(0, 1, 1, 0), nrow = 2, ncol = 2),
    simplify = FALSE
  )
  
  pairingResults <- lapply(
    pairingResults, function(mat, isles) {
      mat <- mat[nrow(mat), -1]
      retVal <- list()
      species <- length(mat) / isles
      for (i in 1:isles) {
        retVal[[i]] <- mat[((i - 1) * species + 1) : (i * species)]
      }
      retVal
    },
    isles = 2
  )
  
  islandInteractionsOneTwo[[grp]] <- pairingResults
}
```

```{r islandOneEmptyTwo}
islandInteractionsOneEmptyTwo <- list()

for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) == 1) next()
  
  pairingResults <- combn(
    nrow(candidateDataSubset), 2, 
    islandFUN,
    dat = candidateDataSubset, 
    pool = pools[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    mat = mats[[
      candidateDataSubset$DatasetID[1]
    ]][[candidateDataSubset$CombnNum[1]]],
    dmat = matrix(c(
      0, 1, 0, # Island 2 -> 1
      1, 0, 1, # Island 1 -> 2, Island 3 -> 2
      0, 1, 0  # Island 2 -> 3
    ), nrow = 3, ncol = 3, byrow = TRUE),
    simplify = FALSE
  )
  
  pairingResults <- lapply(
    pairingResults, function(mat, isles) {
      mat <- mat[nrow(mat), -1]
      retVal <- list()
      species <- length(mat) / isles
      for (i in 1:isles) {
        retVal[[i]] <- mat[((i - 1) * species + 1) : (i * species)]
      }
      retVal
    },
    isles = 3
  )
  
  islandInteractionsOneEmptyTwo[[grp]] <- pairingResults
}
```

```{r compareIslandDynamics}
# Format of table should be:
# ID, Community 1, Community 2, Outcomes 1-2, Outcomes 1-0-2
# For outcomes, species presence will be used.

communities <- NULL
totalCommunities <- NULL
for (grp in unique(candidateData$TotalID)) {
  candidateDataSubset <- candidateData %>% dplyr::filter(TotalID == grp)
  
  if (nrow(candidateDataSubset) > 1) {
    newCommunities <- combn(
      candidateDataSubset$Communities, 2, 
    )
    communities <- c(communities, newCommunities)
    totalCommunities <- c(
      totalCommunities,
      toString(sort(unique(unlist(lapply(newCommunities, 
                                         RMTRCode2::CsvRowSplit)))))
    )
  }
}

islandInteractionsOneTwoWhich <- unlist(lapply(
  seq_along(islandInteractionsOneTwo), function(i, x, tC) {
    lapply(x[[i]], function(y, tC) {
      lapply(y, function(z, tC) {
        toString(RMTRCode2::CsvRowSplit(tC)[which(z > 1E-6)])
      }, tC = tC)
    },
    tC = tC[i])
  },
  x = islandInteractionsOneTwo,
  tC = totalCommunities))

islandInteractionsOneEmptyTwoWhich <- unlist(lapply(
  seq_along(islandInteractionsOneEmptyTwo), function(i, x, tC) {
    lapply(x[[i]], function(y, tC) {
      lapply(y, function(z, tC) {
        toString(RMTRCode2::CsvRowSplit(tC)[which(z > 1E-6)])
      }, tC = tC)
    },
    tC = tC[i])
  },
  x = islandInteractionsOneEmptyTwo,
  tC = totalCommunities))


islandInteractionResults <- data.frame(
  DatasetID = rep(names(islandInteractionsOneTwo), 
                  unlist(lapply(islandInteractionsOneTwo, length))),
  Community1 = communities[seq(from = 1, to = length(communities), by = 2)],
  Community2 = communities[seq(from = 2, to = length(communities), by = 2)],
  OutcomeWOEmpty_Island1 = islandInteractionsOneTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneTwoWhich), by = 2)],
  OutcomeWOEmpty_Island2 = islandInteractionsOneTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneTwoWhich), by = 2)],
  OutcomeWEmpty_Island1 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)],
  OutcomeWEmpty_Island2 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)],
  OutcomeWEmpty_Island3 = islandInteractionsOneEmptyTwoWhich[
    seq(from = 1, to = length(islandInteractionsOneEmptyTwoWhich), by = 3)]
)

islandInteractionResults
```

```{r matches}
islandInteractionResults %>% dplyr::mutate(
  C1WOInvaded = Community1 != OutcomeWOEmpty_Island1,
  C2WOInvaded = Community2 != OutcomeWOEmpty_Island2,
  C1WInvaded = Community1 != OutcomeWEmpty_Island1,
  C2WInvaded = Community2 != OutcomeWEmpty_Island3,
  StalemateWO = !C1WOInvaded & !C2WOInvaded,
  StalemateW = !C1WInvaded & !C2WInvaded,
  HybridWO = C1WOInvaded & C2WOInvaded,
  HybridW = C1WInvaded & C2WInvaded,
) %>% dplyr::select(-dplyr::starts_with("Outcome"))
```

# Save workspace
```{r save}
save(
  candidateData,
  islandInteractionsOneEmptyTwo,
  islandInteractionsOneEmptyTwoWhich,
  islandInteractionsOneTwo,
  islandInteractionsOneTwoWhich,
  mats,
  paramFrame,
  plotScalingData,
  pools,
  file = "LM1996-NumPoolCom-QDat-2021-05.RData"
)
```
